Predicting irregularities in population cycles

Shandelle M. Henson, James R. Reilly, Suzanne L. Robertson, Matthew C. Schu, Eric W D Rozier, J. M. Cushing

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Oscillating population data often exhibit cycle irregularities such as episodes of damped oscillation and abrupt changes of cycle phase. The prediction of such irregularities is of interest in applications ranging from food production to wildlife management. We use concepts from dynamical systems theory to present a model-based method for quantifying the risk of impending cycle irregularity.

Original languageEnglish
Pages (from-to)238-253
Number of pages16
JournalSIAM Journal on Applied Dynamical Systems
Volume2
Issue number2
DOIs
StatePublished - May 23 2003

Fingerprint

System theory
Irregularity
Dynamical systems
Cycle
Systems Theory
Damped
Dynamical system
Oscillation
Model-based
Prediction

Keywords

  • Basins of attraction
  • Nonlinear population dynamics
  • Periodic solutions
  • Phase switching
  • Stochasticity

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Henson, S. M., Reilly, J. R., Robertson, S. L., Schu, M. C., Rozier, E. W. D., & Cushing, J. M. (2003). Predicting irregularities in population cycles. SIAM Journal on Applied Dynamical Systems, 2(2), 238-253. https://doi.org/10.1137/S1111111102411262

Predicting irregularities in population cycles. / Henson, Shandelle M.; Reilly, James R.; Robertson, Suzanne L.; Schu, Matthew C.; Rozier, Eric W D; Cushing, J. M.

In: SIAM Journal on Applied Dynamical Systems, Vol. 2, No. 2, 23.05.2003, p. 238-253.

Research output: Contribution to journalArticle

Henson, SM, Reilly, JR, Robertson, SL, Schu, MC, Rozier, EWD & Cushing, JM 2003, 'Predicting irregularities in population cycles', SIAM Journal on Applied Dynamical Systems, vol. 2, no. 2, pp. 238-253. https://doi.org/10.1137/S1111111102411262
Henson SM, Reilly JR, Robertson SL, Schu MC, Rozier EWD, Cushing JM. Predicting irregularities in population cycles. SIAM Journal on Applied Dynamical Systems. 2003 May 23;2(2):238-253. https://doi.org/10.1137/S1111111102411262
Henson, Shandelle M. ; Reilly, James R. ; Robertson, Suzanne L. ; Schu, Matthew C. ; Rozier, Eric W D ; Cushing, J. M. / Predicting irregularities in population cycles. In: SIAM Journal on Applied Dynamical Systems. 2003 ; Vol. 2, No. 2. pp. 238-253.
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